Gmatprep inequality..

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abhi332: Master | Next Rank: 500 Posts; Posts: 117; Joined: Wed Dec 30, 2009 1:57 pmFollowed by: 1 member; Location: India; Thanked: 4 times

by abhi332 » Wed Mar 03, 2010 11:16 pm

If y > = 0, what is the value of x?
1. |x - 3| >= y
2. |x - 3| <= - y

Last edited by abhi332 on Thu Mar 04, 2010 12:58 am, edited 1 time in total.

What you think, you become.

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Source: Beat The GMAT — Data Sufficiency | Wed Mar 03, 2010 11:16 pm

sunil_snath: Senior | Next Rank: 100 Posts; Posts: 39; Joined: Wed Nov 18, 2009 8:41 am; Thanked: 3 times

by sunil_snath » Thu Mar 04, 2010 12:28 am

Hi Abhi,

I think there is something wrong with this question. If y>0 then |x-3| can NEVER be less than -Y.

|x-3| is always positive so I think the Q should be y<0.

Also, I think this question has been discussed before in BTG.

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ajith: Legendary Member; Posts: 1275; Joined: Thu Sep 21, 2006 11:13 pmFollowed by: 2 members; Location: Arabian Sea; Thanked: 125 times

by ajith » Thu Mar 04, 2010 12:29 am

abhi332 wrote:If y > 0, what is the value of x?
1. |x - 3| > y
2. |x - 3| < - y

1. |x - 3| > y is not clearly sufficient to find one value for x since there are multiple values of x for which this can be true
2. |x - 3| is positive or zero; -y is always negative since y>0 so there is no way |x - 3| < - y holds true
not even when x=3 and y is any positive number

I think the question is flawed. Given the conditions I will go for E

Had the question been

If y >= 0, what is the value of x?
1. |x - 3| > y
2. |x - 3| <= - y

B would have been the answer!

Always borrow money from a pessimist, he doesn't expect to be paid back.

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abhi332: Master | Next Rank: 500 Posts; Posts: 117; Joined: Wed Dec 30, 2009 1:57 pmFollowed by: 1 member; Location: India; Thanked: 4 times

by abhi332 » Thu Mar 04, 2010 12:59 am

corrected

OA:B

What you think, you become.

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Stuart@KaplanGMAT: GMAT Instructor; Posts: 3225; Joined: Tue Jan 08, 2008 2:40 pmFollowed by: 614 members; Location: Toronto; Thanked: 1710 times; GMAT Score:800

by Stuart@KaplanGMAT » Thu Mar 04, 2010 2:18 pm

abhi332 wrote:If y > = 0, what is the value of x?
1. |x - 3| >= y
2. |x - 3| <= - y

With the change, (2) is sufficient.

As noted, |x-3| > = 0

So, since y >=0, if |x-3| <= -y, then the only possibility is:

|x - 3| = 0

Which means that x = 3.

Stuart Kovinsky | Kaplan GMAT Faculty | Toronto

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